Topic
Q:
Alex, Maggie, and Aly each want to run \( 5 \frac{1}{4} \) miles this week. The chart
below shows how may miles each person has completed. Find out how
many more miles they each must run to meet the goal they set.
Q:
Given two \( n \times n \) invertible matrices \( A \) and \( B \) such that
\( (A-B)(B+A)=A^{2}-B^{2} \). Which of the following statement is correct?
\( B=A B A^{-1} B \)
\( A \) is the inverses matrix of \( B \)
\( B=B A B A^{-1} \)
None of the given options
\( B=A^{-1} B A \)
Q:
Write down the equation of a vertical line that cuts the \( x \)-axis at 2 .
Q:
Find the values of
\( a, b, c, d \) in the matrix \( \left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \)
whose square is \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
Q:
1. Qu'observe-t-on au fond du tube à essai après chauffage ?
2. Qu'arrive-t-il à l'extrémité incandescente de la baguette ? Qu'est-
ce que cela signifie?
Q:
\( 14 \mathrm{f}(x)=\frac{x}{x+2} \) for \( x \in \mathbb{R}, x \neq-2 \quad \mathrm{~g}(x)=\frac{3}{x} \) for \( x \in \mathbb{R}, x \neq 0 \)
Find the domain of \( \mathrm{fg}(x) \)
Q:
We consider the system given by the following augmented matrix
\( \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \\ 2 & -3 & 1 & 10 \\ -2 & 1 & 1 & -6\end{array}\right] \)
Is there a value of \( \alpha \) such that \( z=\alpha, y=1, z=3 \) is a solution of the
system? Choose the correct value of \( \alpha \).
None of the given options are correct
\( \alpha=-4 \)
\( \alpha=4 \)
\( \alpha=5 \)
\( \alpha=-5 \)
Q:
Un escargot se déplace à une vitesse de \( 360 \mathrm{~cm} / \mathrm{h} \).
Transforme cette vitesse en \( \mathrm{km} / \mathrm{h} \) et en \( \mathrm{m} / \mathrm{sec} \).
Q:
Suppose that we have the matrix
\( A=\left[\begin{array}{rrr}1 & 1 & -1 \\ 3 & 0 & -1 \\ -1 & -1 & 2\end{array}\right] \)
such that \( |A|=-3 \). Evaluate \( \left|3 C^{-1}\right| \)
Q:
2.1 Determine \( \frac{d y}{d x} \) in each of the following cases:
(Simplification NOT required)
2.1.1 \( \quad y=\cot ^{4} \sqrt{\tan 3 x^{2}} \)
2.1 .2
\( y=\tan \left(\sqrt{\frac{1-e^{2 x}}{1+e^{2 x}}}\right) \)
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